Technical Section: Parameterised, constraint-based wrapping of freeform shapes

  • Authors:
  • Eelco van den Berg;Willem F. Bronsvoort

  • Affiliations:
  • Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, NL-2628 CD Delft, The Netherlands;Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, Mekelweg 4, NL-2628 CD Delft, The Netherlands

  • Venue:
  • Computers and Graphics
  • Year:
  • 2007

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Abstract

A new technique for creating freeform shapes, called parameterised, constraint-based wrapping, is presented. Here, a shape is defined by a parameterised cross-section that is placed at several positions along a trajectory lying on a freeform surface. The shape is determined in such a way that a seamless connection is established with the existing shape. The mapping between the parameters and the eventual shape is achieved by specifying combinations of geometric and algebraic constraints in a generic shape definition. Specific properties of the wrap shape can be declared in this definition. Parameterised, contraint-based wrapping provides a way of defining freeform geometry in a more intuitive and controlled way than previously possible for similar shapes. It can be applied in a wide variety of areas, and provides an important addition to the collection of existing modelling techniques.